2149344 has 72 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 672768.

The previous prime is 2149331. The next prime is 2149349. The reversal of 2149344 is 4439412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4677 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^2149344 is an apocalyptic number.

2149344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2149344 is an abundant number, since it is smaller than the sum of its proper divisors (4337136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2149344 is a wasteful number, since it uses less digits than its factorization.

2149344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2149344 is about 1466.0641186524. The cubic root of 2149344 is about 129.0531599903.

The spelling of 2149344 in words is "two million, one hundred forty-nine thousand, three hundred forty-four".